1890118656 has 264 divisors, whose sum is σ = 5873154144. Its totient is φ = 583925760.

The previous prime is 1890118649. The next prime is 1890118661. The reversal of 1890118656 is 6568110981.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7842696 + ... + 7842936.

It is an arithmetic number, because the mean of its divisors is an integer number (22246796).

Almost surely, 2^1890118656 is an apocalyptic number.

1890118656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1890118656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936577072).

1890118656 is an abundant number, since it is smaller than the sum of its proper divisors (3983035488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1890118656 is a wasteful number, since it uses less digits than its factorization.

1890118656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 1890118656 is about 43475.4948908003. The cubic root of 1890118656 is about 1236.4114632227.

The spelling of 1890118656 in words is "one billion, eight hundred ninety million, one hundred eighteen thousand, six hundred fifty-six".